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141950735080 = 2357111719971471
BaseRepresentation
bin1000010000110011101…
…1000101001011101000
3111120101210100111012121
42010030323011023220
54311203342010310
6145113344521024
713153446224410
oct2041473051350
9446353314177
10141950735080
11552235422a0
1223617020174
1310502a7a6cb
146c28741640
153a5c1020da
hex210cec52e8

141950735080 has 512 divisors, whose sum is σ = 448693862400. Its totient is φ = 39016857600.

The previous prime is 141950735051. The next prime is 141950735167. The reversal of 141950735080 is 80537059141.

It is a super-2 number, since 2×1419507350802 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 96498745 + ... + 96500215.

It is an arithmetic number, because the mean of its divisors is an integer number (876355200).

Almost surely, 2141950735080 is an apocalyptic number.

141950735080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141950735080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224346931200).

141950735080 is an abundant number, since it is smaller than the sum of its proper divisors (306743127320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141950735080 is a wasteful number, since it uses less digits than its factorization.

141950735080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 43.

The spelling of 141950735080 in words is "one hundred forty-one billion, nine hundred fifty million, seven hundred thirty-five thousand, eighty".